Finding the Third Proportional to 31,647 and 67,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,647 : 67,987.50 = 67,987.50 : x
2. Step 2: Convert to fraction form
   31,647/67,987.50 = 67,987.50/x
3. Step 3: Cross multiply
   31,647x = 67,987.50 × 67,987.50
4. Step 4: Simplify right side
   31,647x = 4,622,300,156.25
5. Step 5: Solve for x
   x = 4,622,300,156.25/31,647
6. Step 6: Final answer
   x = 146,058.08